Answered

\begin{tabular}{|c|c|c|}
\hline
\begin{tabular}{c}
Location
\end{tabular} & \begin{tabular}{c}
Red Fox \\
Population
\end{tabular} & Area (acres) \\
\hline
\begin{tabular}{c}
Bear Creek \\
Preserve, PA
\end{tabular} & 12,624 & 3,412 \\
\hline
\begin{tabular}{c}
Binky Lee \\
Preserve, PA
\end{tabular} & 462 & 112 \\
\hline
\begin{tabular}{c}
ChesLen \\
Preserve, PA
\end{tabular} & 3,537 & 1,263 \\
\hline
\begin{tabular}{c}
Crow's Nest \\
Preserve, PA
\end{tabular} & 2,142 & 612 \\
\hline
\end{tabular}

High population density can cause increased competition for resources such as food or shelter, while a low population density can cause issues with finding mates and diversification.

The region with the highest population density is [tex]$\square$[/tex].

The region with the lowest population density is [tex]$\square$[/tex].



Answer :

GinnyAnswer
To determine the regions with the highest and lowest population densities, we will calculate the population density for each region using the formula:

[tex]\[ \text{Population Density} = \frac{\text{Population}}{\text{Area (acres)}} \][/tex]

Let's apply this formula to each of the preserves:

1. Bear Creek Preserve, PA:
[tex]\[ \text{Population Density} = \frac{12,624}{3,412} \approx 3.6998827667057443 \text{ red foxes per acre} \][/tex]

2. Binky Lee Preserve, PA:
[tex]\[ \text{Population Density} = \frac{462}{112} \approx 4.125 \text{ red foxes per acre} \][/tex]

3. ChesLen Preserve, PA:
[tex]\[ \text{Population Density} = \frac{3,537}{1,263} \approx 2.8004750593824226 \text{ red foxes per acre} \][/tex]

4. Crow's Nest Preserve, PA:
[tex]\[ \text{Population Density} = \frac{2,142}{612} \approx 3.5 \text{ red foxes per acre} \][/tex]

Now, we can compare these densities:

- Bear Creek Preserve: [tex]\(3.6998827667057443\)[/tex]
- Binky Lee Preserve: [tex]\(4.125\)[/tex]
- ChesLen Preserve: [tex]\(2.8004750593824226\)[/tex]
- Crow's Nest Preserve: [tex]\(3.5\)[/tex]

From these calculations, we see that the region with the highest population density is Binky Lee Preserve, PA with a density of [tex]\(4.125\)[/tex] red foxes per acre. The region with the lowest population density is ChesLen Preserve, PA with a density of [tex]\(2.8004750593824226\)[/tex] red foxes per acre.

Therefore:

- The region with the highest population density is [tex]\( \boxed{\text{Binky Lee Preserve, PA}} \)[/tex].
- The region with the lowest population density is [tex]\( \boxed{\text{ChesLen Preserve, PA}} \)[/tex].

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